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Pré-Publication, Document De Travail Année : 2021

Maximal Super-Yang-Mills at Six Loops via Novel Integrand Bootstrap

Résumé

We construct the complete (planar and non-planar) integrand for the six-loop four-point amplitude in maximal $D\le10$ super-Yang-Mills. This construction employs new advances that combat the proliferation of diagram contributions and state sums when evaluating multi-loop $D$-dimensional unitarity cuts. Concretely, we introduce two graph-based approaches to evaluating generalized unitarity cuts in $D$ dimensions: 1) recursively from lower-loop cuts, or 2) directly from known higher-loop planar cuts. Neither method relies on explicit state sums or any sewing of tree-level amplitudes. These methods are based on identities that we expect to hold for a broad family of theories, including QCD and Einstein gravity.

Dates et versions

hal-03500682 , version 1 (22-12-2021)

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John Joseph M. Carrasco, Alex Edison, Henrik Johansson. Maximal Super-Yang-Mills at Six Loops via Novel Integrand Bootstrap. 2021. ⟨hal-03500682⟩
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